2226182455296 has 448 divisors, whose sum is σ = 6841214640540. Its totient is φ = 723643269120.

The previous prime is 2226182455283. The next prime is 2226182455313. The reversal of 2226182455296 is 6925542816222.

2226182455296 is a `hidden beast` number, since 2 + 2 + 2 + 6 + 1 + 82 + 4 + 552 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2218717495296 + 7464960000 = 1489536^2 + 86400^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 979401616 + ... + 979403888.

Almost surely, 2^{2226182455296} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2226182455296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3420607320270).

2226182455296 is an abundant number, since it is smaller than the sum of its proper divisors (4615032185244).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2226182455296 is an frugal number, since it uses more digits than its factorization.

2226182455296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362 (or 2319 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 2226182455296 in words is "two trillion, two hundred twenty-six billion, one hundred eighty-two million, four hundred fifty-five thousand, two hundred ninety-six".